Yes, we often speak of "moving violations" to refer to infractions committed with a car in motion -- going through a late yellow or red light, speeding over the limit (speeding tickets), prohibited left or right turns, not yielding to pedestrians, failing to signal, etc., etc. These are moving violations.
Then there are parking infractions (parking in "no parking" zones, parking without paying required parking fee, etc). You also get tickets for these. Depending on the location and time, they may also summarily tow your car away. Typical towing charges you will have to pay to retrieve your vehicle, around US$250.00. Plus the parking fine.
Sometimes, depending on the nature of the infraction, you may be stopped, arrested, fined and charged criminally too, such as for "driving under the influence" (DIU).
A ticket or a fine is often also known as a "summons." "To summon" someone is to call that person to either plead guilty, accept the "summary conviction" and pay the fine as stipulated; or to request an appearance in court to contest the charges, to allege a less costly offence, to allege no offense and plead "not guilty" as charged. For minor offenses, the prosecution (the state) will often lessen the charge if you agree to plead guilty, subject to the judge going along.
I have been to Traffic Court twice in the last few months. The first time, I was one of the last cases heard. Several people before me had argued the facts with the traffic officer who had ticketed them, had clearly exasperated the judge with ineffectual arguments, and had all lost their cases. Fines assessed were as stipulated. When my turn came, the judge as always asked first, "How do you plead?" My answer: "Oh, I'm guilty as charged Your Honour... I'm here because I actually misunderstood the charge -- which I now do having just met with the ticketing officer." The Judge: "Well, finally an honest man! Sentence suspended, you may go." So, to my surprise, I was discharged.
The second time, before the court session started, I saw the prosecutor (known as the "Crown" in Canada) to let him know I was there. My fine was $30. for illegal parking somewhere. The prosecutor says, "Look, will you plead guilty for $10 dollars; otherwise you'll be here for about 1 to 2 hours." So I pleaded guilty as soon as summoned by the judge. We had an interesting friendly exchange:
Judge: "How do you plead Mr Cunha?"
Me: "Guilty in the terms agreed upon with the Crown, Your Honour."
Judge: "And the Crown's position?"
Crown: "Your Honour, we accept the plea and recommend the lesser fine of $10 dollars."
Judge (very affably): "Does that suit you, Mr Cunha?"
Me: "Indeed Your Honour, it must. Every half-hour here costs me almost two dollars of parking in the Court's parking lot. I am paying twice for my one sin."
Judge: "Mr Cunha, I hear you. This Court charges you $10 dollars with some regret and wishes you a lawfully speedy exit from our parking lot."
Me: "Thank you, Your Honour."
I actually enjoyed my two court appearances of 2009, but it is a lot easier if you can avoid parking tickets.